Question

even odd or neither
f(x) = x^3 - 5x

Answer 1

$f(x)=x^3-5x\\\\ f(-x)=(-x)^3-5\cdot(-x)=-x^3+5x\\ f(x)\not=f(-x)\Rightarrow \text{not even}\\\\ -f(x)=-(x^3-5x)=-x^3+5x\\ -f(x)=f(-x) \Rightarrow \text{odd}$